Premium
Solomon's Descent Algebra Revisited
Author(s) -
Atkinson M. D.
Publication year - 1992
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/24.6.545
Subject(s) - mathematics , descent (aeronautics) , homomorphism , algebra over a field , tensor product , pure mathematics , tensor (intrinsic definition) , engineering , aerospace engineering
Starting from a non‐standard definition, the descent algebra of the symmetric group is investigated. Homomorphisms into the tensor product of smaller descent algebras are defined. They are used to contruct the irreducible representations and to obtain the nilpotency index of the radical.